Second-order bulk modulus with thermal expansivity for nanomaterials

Volume–temperature pressure expansivity for nanomaterials have been determined using second-order bulk modulus, volume and temperature dependence of pressure derivative equations of state. The expansion has been theoretically examined from second-order bulk modulus pressure–volume and temperature expansion by a modified version of our previous model. The nanomaterials viz., ε-Fe, α-Fe₂O₃, γ-Al₂O₃ and γ-Si₃N₄ are used to verify this model and compared with other Equation of state, and experimental data are reported in the literature.